Abstract: A combination auger system having a coreless, flexible, elevating conveyor joined at the outlet thereof to a core-type distributing conveyor by a coupling assembly providing a transition for material flowing from the coreless conveyor to the core-type conveyor. The coupling assembly includes a core-to-coreless connector having a connecting shaft connected to an end of the core-type auger, and a stub shaft joined with the connecting shaft and approximately two flights of the coreless conveyor. The core-to-coreless connector is arranged in a housing having a section thereof transverse to the path formed by the conveyors, which section is larger than the corresponding sections of the conveyors themselves for permitting the material being conveyed to boil and take a position outside a core of the core-type auger. This is desirable since the space of the core of the core-type auger is unavailable to the material.